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Finding the Fourth Proportional to 280.71, 420.72 and 118.23

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Solution

The fourth proportional to 280.71, 420.72 and 118.23 is: 177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.71 : 420.72 = 118.23 : x
  2. Step 2: Convert to fraction form
    280.71/420.72 = 118.23/x
  3. Step 3: Cross multiply
    280.71x = 420.72 × 118.23
  4. Step 4: Simplify right side
    280.71x = 49,741.73
  5. Step 5: Solve for x
    x = 49,741.73/280.71
  6. Step 6: Final answer
    x = 177.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.